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Finding the Fourth Proportional to 2,996.61, 4,135.29 and 1,670.24

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Solution

The fourth proportional to 2,996.61, 4,135.29 and 1,670.24 is: 2,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.61 : 4,135.29 = 1,670.24 : x
  2. Step 2: Convert to fraction form
    2,996.61/4,135.29 = 1,670.24/x
  3. Step 3: Cross multiply
    2,996.61x = 4,135.29 × 1,670.24
  4. Step 4: Simplify right side
    2,996.61x = 6,906,926.77
  5. Step 5: Solve for x
    x = 6,906,926.77/2,996.61
  6. Step 6: Final answer
    x = 2,304.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.